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Finding the Fourth Proportional to 516.44, 770.17 and 474.44

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Solution

The fourth proportional to 516.44, 770.17 and 474.44 is: 707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 770.17 = 474.44 : x
  2. Step 2: Convert to fraction form
    516.44/770.17 = 474.44/x
  3. Step 3: Cross multiply
    516.44x = 770.17 × 474.44
  4. Step 4: Simplify right side
    516.44x = 365,399.45
  5. Step 5: Solve for x
    x = 365,399.45/516.44
  6. Step 6: Final answer
    x = 707.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.